A stochastic complex network model

A Stochastic Complex Network Model

We introduce a stochastic model for complex networks possessing three qualitative features: power-law degree distributions, local clustering, and slowly growing diameter. The model is mathematically natural, permits a wide variety of explicit calculations, has the desired three qualitative features, and fits the complete range of degree scaling exponents and clustering parameters.

Developing a 3D stochastic discrete fracture network model for hydraulic analyses

Fluid flow in jointed rock mass with impermeable matrix is often controlled by joint properties, including aperture, orientation, spacing, persistence and etc. On the other hand, since the rock mass is made of heterogeneous and anisotropic natural materials, geometric properties of joints may have dispersed values. One of the most powerful methods for simulation of stochastic nature of geometri...

An Inexact-Fuzzy-Stochastic Optimization Model for a Closed Loop Supply Chain Network Design Problem

The development of optimization and mathematical models for closed loop supply chain (CLSC) design has attracted considerable interest over the past decades. However, the uncertainties that are inherent in the network design and the complex interactions among various uncertain parameters are challenging the capabilities of the developed tools. The aim of this paper, therefore, is to propose a n...

A Tractable Complex Network Model Based on the Stochastic Mean-Field Model of Distance

Much recent research activity has been devoted to empirical study and theoretical models of complex networks (random graphs) possessing three qualitative features: power-law degree distributions, local clustering, and slowly-growing diameter. We point out a new (in this context) platform for such models – the stochastic mean-field model of distances – and within this platform study a simple two...

Introducing a Relational Network DEA Model with Stochastic Intermediate measures for Portfolio Optimization